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Q. Three people each flip two fair coins. The probability that exactly two of the people flipped one head and one tail, is

Probability - Part 2

Solution:

$n =3 ; P ($ success $)= P ( H$ T or $T H )=\frac{1}{2} \Rightarrow p = q =\frac{1}{2}$ and $r =2$
$P ( r =2)={ }^3 C _2\left(\frac{1}{2}\right)^2 \cdot \frac{1}{2}=\frac{3}{8}$